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A note on Fourier coefficients of Poincar\'e series

Number Theory 2014-01-14 v1

Abstract

We give a short and "soft" proof of the asymptotic orthogonality of Fourier coefficients of Poincar\'e series for classical modular forms as well as for Siegel cusp forms, in a qualitative form.

Keywords

Cite

@article{arxiv.1008.2288,
  title  = {A note on Fourier coefficients of Poincar\'e series},
  author = {Emmanuel Kowalski and Abhishek Saha and Jacob Tsimerman},
  journal= {arXiv preprint arXiv:1008.2288},
  year   = {2014}
}

Comments

10 pages